Statistics

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Classification

Classification involves making decisions about the categorisation of data. 

Data is often sorted into categories by characteristic.

Variation

Variation describes the differences observed around us in every measurable aspect of life, such as age, height, eye colour and temperature. 

Variation is fundamental and directly connected to the other four key ideas.

Expectation

Expectation is a prediction based on patterns and differences in data.

Distribution

Distribution is a shape or relationship that represents a whole dataset. Common features of the shape of a distribution include centre, symmetry and non-symmetry (i.e. skewness), most frequent values or categories, and spread. 

Categorical data might be represented by a bar graph that shows how the data is distributed across the categories.

Numerical data might be displayed in a dot plot.

Randomness

Randomness occurs when all possible outcomes of a situation have an equal chance of being selected.

Informal inference

An informal inference is a generalised claim that is formulated from the data collected (Watson n.d.).


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Statistical Inquiry

Statistics is the process of answering questions using data. The data may need to be collected or may already exist. 

Five interconnected stages make up the statistical inquiry cycle:

Please refer to pages 50-55 for more information on each of the above stages as well as the different types of data, data tools, data displays and data measures.

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The overarching key ideas have a broad application and are fundamental to enabling students to connect concepts across all areas of mathematics.

Consequently, they need to be considered by educators when developing each unit of work.